Question

FIND: The GENERAL FORM of a particular solution to below ODE: y''-2y'+5y = exsin(4x) + xe2x...

FIND: The GENERAL FORM of a particular solution to below ODE:

y''-2y'+5y = exsin(4x) + xe2x

Use below method:

1. characteristic equation / determine roots

2. complementary function

3. determining duplication

4. trial solutions

5. eliminate duplication

6. Particular solution (DO NOT FIND COEFFICIENTS)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You found a particular solution to y''+2y'+5y=e^(2t) by guessing a function based on the form of...
You found a particular solution to y''+2y'+5y=e^(2t) by guessing a function based on the form of the nonhomogeneous term. Use the same approach to find particular solutions to the equations below. 6. y''+y'+5y=5sin(3t) + e^(2t)
Find the general solution. Express the solution in vector form. x' = x + 2y y'...
Find the general solution. Express the solution in vector form. x' = x + 2y y' = 4x+3y Find the general solution. Express the solution in scalar form. x' = −4x + 2y y' = − 5/2 x + 2y
Use the undetermined coefficients method to find the particular solution of the differential equation y'' +...
Use the undetermined coefficients method to find the particular solution of the differential equation y'' + 3y' - 4y = xe2x and then write the general solution.
Find the general solution of the given ode using any method y" − 3y' + 2y...
Find the general solution of the given ode using any method y" − 3y' + 2y = 2e5t + 1 − t2
In problems 28-35: SET UP the form of a particular solution, yp, of the following differential...
In problems 28-35: SET UP the form of a particular solution, yp, of the following differential equations. DO NOT determine the coefficients: y" - 2y' + 5y = exsin(4x)+xe-2x
Use the method of undetirmined coefficients to find the general solution of the differential equation y''+4y'-5y...
Use the method of undetirmined coefficients to find the general solution of the differential equation y''+4y'-5y = 5cos(2x)
Non homogeneous eq w constant; undetermined coefficients Find the general solution: 1) y" + 4y' +...
Non homogeneous eq w constant; undetermined coefficients Find the general solution: 1) y" + 4y' + 4y = xe^−x. 2) y" + 2y' + 5y = e^2x cos x. Determine a suitable form for a particular solution z = z(x) of the given equations 1) y" + 2y' = 2x + x^2e^−3x + sin 2x. 2) y" − 5y' + 6y = 2e^2x cos x − 3xe^3x + 5. 3) y" + 5y' + 6y = 2e^2x cos x −...
y'''+2y''-4y'+8y= -5cos(x)-10sin(x)+16e2x A.Solve the underlining homogenous equation, solve the characteristic equations, write fundamental solutions B. Find...
y'''+2y''-4y'+8y= -5cos(x)-10sin(x)+16e2x A.Solve the underlining homogenous equation, solve the characteristic equations, write fundamental solutions B. Find the particular solution? (use undetermined coefficients method to find particular solution)
Find the general solution to the system x" = 5x + 2y, y" = 2x +...
Find the general solution to the system x" = 5x + 2y, y" = 2x + 8y. Note that the system as stated above has second derivatives. Once you write it as a first-order system, the characteristic equation will be biquadratic (quadratic in λ2), so you can solve for λ2 and then take square roots to get the eigenvalues.
Use the method of Undetermined Coefficients to find the general solution y'' - y' -2y =...
Use the method of Undetermined Coefficients to find the general solution y'' - y' -2y = e^(2x)